(b) A "three-point formulas" for the derivative is 1 (-fo+ f2) 2h Apply it to f(x) = x' with xo,,x2 and determine the error of approximation. Consider f(r) = xª for xo = %3D ... 0, r1 = 0.3, x2 = 0.6. %3D %3D

Q: v=(*++1)(r+2) 11. (u)=(1+ \u)(u-u°)

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

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Q: 6) Use derivatives to find where the function is concave up f(x)=x.e2x*

A: If  f "(x) > 0  on an interval, then f(x) is concave up on that interval.

Q: y" y' = Note: You can earn partial credit on this problem. Find the inflection points of f(x) = 6x4…

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Q: 3. Evaluate the derivatives of the following: i. 2t +3 ii. x' sin x iii. In(3x-4) iv. (2x +5)"

A: i. Quotient Rule:  The Quotient Rule for differentiation is given by, Evaluate the derivative of…

Q: 2 y-(1-2x) y = 1 – 2x° У y"

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Q: Compute the derivative of the function f(x) = 5x² + 3x at the point x = 4. %3D (Give your answer as…

A: We have to find the derivative at that point

Q: Find the second derivative (y") of the given function: 6. y 2-e -6e* +12e-e" (2-e*)" 6e* (2+e*)…

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Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4

A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: Find the derivative at the point x=2 for the function given by the equation x2+y2+2x−xy+5y−2=0.

A: Given equation is  X2 + y2 + 2x -xy + 5y -2 =0 We have to find out the derivative of function at x=…

Q: Find y" in terms of x and y. You must use implicit differentiation for this problem. 1- xy = x – Y

A: Given : 1-xy = x-y

Q: 2. Find the derivative of each function a) f(x) = x³e/x et3+7 b) g(t) %3D t2 )듬x리 In(2x + 1) 8x+9 x3

A: According to our guidelines we can only answer 3 subparts of a question, rest you can repost

Q: Find the derivative. Then evaluate at x = 0 f(x)=√(2x+9)3   The answer is f(x)'= 3√(2x+9)   ;…

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Q: 17. Determine the derivative of each function. a) y=2(3x-x-1² b) g(x)= /2x + 5

A: We have to find derivative As per guideline we have to solve only three

Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

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Q: 2) s(t)=5e" (3r -51)

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Q: Find the derivative of the function f(x y) = tan-1Y at the point (5, -5) in the direction in which…

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